12130759555200 has 1440 divisors, whose sum is σ = 51299319953700. Its totient is φ = 2713348915200.

The previous prime is 12130759555181. The next prime is 12130759555231. The reversal of 12130759555200 is 255595703121.

12130759555200 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 0 + 7 + 5 + 95 + 552 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6222709855296 + 5908049699904 = 2494536^2 + 2430648^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×12130759555200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 5481589294 + ... + 5481591506.

Almost surely, 2^{12130759555200} is an apocalyptic number.

12130759555200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130759555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25649659976850).

12130759555200 is an abundant number, since it is smaller than the sum of its proper divisors (39168560398500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12130759555200 is a wasteful number, since it uses less digits than its factorization.

12130759555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The spelling of 12130759555200 in words is "twelve trillion, one hundred thirty billion, seven hundred fifty-nine million, five hundred fifty-five thousand, two hundred".